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Finding the Third Proportional to 334.97 and 543.80

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Solution

The third proportional to 334.97 and 543.80 is: 882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.97 : 543.80 = 543.80 : x
  2. Step 2: Convert to fraction form
    334.97/543.80 = 543.80/x
  3. Step 3: Cross multiply
    334.97x = 543.80 × 543.80
  4. Step 4: Simplify right side
    334.97x = 295,715.04
  5. Step 5: Solve for x
    x = 295,715.04/334.97
  6. Step 6: Final answer
    x = 882.81

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.